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1450080 = 253251953
BaseRepresentation
bin101100010000001100000
32201200010200
411202001200
5332400310
651025200
715216432
oct5420140
92650120
101450080
11900515
1259b200
133ba048
1429a652
151d99c0
hex162060

1450080 has 144 divisors (see below), whose sum is σ = 5307120. Its totient is φ = 359424.

The previous prime is 1450073. The next prime is 1450103. The reversal of 1450080 is 800541.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27334 + ... + 27386.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

21450080 is an apocalyptic number.

1450080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653560).

1450080 is an abundant number, since it is smaller than the sum of its proper divisors (3857040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1450080 is a wasteful number, since it uses less digits than its factorization.

1450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1450080 is about 1204.1926756130. The cubic root of 1450080 is about 113.1872011234.

The spelling of 1450080 in words is "one million, four hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 53 57 60 72 76 80 90 95 96 106 114 120 144 152 159 160 171 180 190 212 228 240 265 285 288 304 318 342 360 380 424 456 477 480 530 570 608 636 684 720 760 795 848 855 912 954 1007 1060 1140 1272 1368 1440 1520 1590 1696 1710 1824 1908 2014 2120 2280 2385 2544 2736 3021 3040 3180 3420 3816 4028 4240 4560 4770 5035 5088 5472 6042 6360 6840 7632 8056 8480 9063 9120 9540 10070 12084 12720 13680 15105 15264 16112 18126 19080 20140 24168 25440 27360 30210 32224 36252 38160 40280 45315 48336 60420 72504 76320 80560 90630 96672 120840 145008 161120 181260 241680 290016 362520 483360 725040 1450080